Skip to main content
Log in

Spaces of compact operators

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Amir, D., Lindenstrauss, J.: The structure of weakly compact sets in Banach spaces. Ann. of Math.88 (2), 35–46 (1968)

    Google Scholar 

  2. Arterburn, D., Whitley, R.J.: Projection in the space of bounded linear operators. Pacific J. Math.15, 739–746 (1965)

    Google Scholar 

  3. Bessaga, C., Pełczyński, A.: On bases and unconditional convergence of series in Banach spaces. Studia Math.17, 151–174 (1958)

    Google Scholar 

  4. Bessaga, C., Pełczyński, A.: Some remarks on conjugate spaces containing a subspace isomorphic to the spacec 0. Bull. Acad. Polon. Sci.6, 249–250 (1958)

    Google Scholar 

  5. Brace, J.W., Friend, G.D.: Weak convergence of sequences in function spaces. J. Functional Analysis4, 457–466 (1969)

    Google Scholar 

  6. Chadwick, J.J.M.: Schauder decomposition in non-separable Banach spaces. Bull. Australian Math. Soc.6, 133–144 (1972)

    Google Scholar 

  7. Dunford, N., Schwartz, J.T.: Linear Operators, Vol. I. New York: Interscience 1955

    Google Scholar 

  8. Grothendieck, A.: Critères de compacité dans les espaces fonctionnels généraux. Amer. J. Math.74, 168–186 (1952)

    Google Scholar 

  9. Grothendieck, A.: Sur les applications linéaires faiblement compactes d'espaces du typeC(K). Canadian J. Math.5, 129–173 (1953)

    Google Scholar 

  10. Holub, J.: Hilbertian operators and reflexive tensor products. Pacific J. Math.36, 185–194 (1971)

    Google Scholar 

  11. Jun, K.K.: A remark on a theorem of R. C. James. Bol. Soc. Mat. Mexicana16 (2), 29–31 (1971)

    Google Scholar 

  12. Lindenstrauss, J.: On complemented subspaces ofm. Israel J. Math.5, 153–156 (1967)

    Google Scholar 

  13. Pełczyński, A., Wojtaszczyk, P.: Banach spaces with finite dimensional expansions of identity and universal bases of finite dimensional subspaces. Studia Math.40, 91–108 (1971)

    Google Scholar 

  14. Pettis, B.J.: On integration in vector spaces. Trans. Amer. Math. Soc.44, 277–304 (1938)

    Google Scholar 

  15. Pitt, H.R.: A note on bilinear forms. J. London Math. Soc.11, 174–180 (1936)

    Google Scholar 

  16. Rosenthal, H.P.: On complemented and quasi-complemented subspaces of quotients ofC(S) for Stonian S. Proc. Nat. Acad. Sci. U.S.60, 1165–1169 (1968)

    Google Scholar 

  17. Rosenthal, H.P.: On relatively disjoint families of measures with some applications to Banach space theory. Studia Math.37, 13–36 (1971)

    Google Scholar 

  18. Ruckle, W.H.: Reflexivity ofL(E, F). Proc. Amer. Math. Soc.34, 171–174 (1972)

    Google Scholar 

  19. Thorp, E.: Projections onto the subspace of compact operators. Pacific J. Math.10, 693–696 (1960)

    Google Scholar 

  20. Tong, A.E.: On the existence of non-compact bounded linear operators between certain Banach spaces. Israel J. Math.10, 451–456 (1971)

    Google Scholar 

  21. Tong, A.E., Wilken, D.R.: The uncomplemented subspaceK(E, F). Studia Math.37, 227–236 (1971)

    Google Scholar 

  22. Whitley, R.J.: Projectingm ontoc 0. Amer. Math. Monthly73, 285–286 (1966)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kalton, N.J. Spaces of compact operators. Math. Ann. 208, 267–278 (1974). https://doi.org/10.1007/BF01432152

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01432152

Keywords

Navigation